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Finding the Fourth Proportional to 364,201.56, 546,302.34 and 114,903

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Solution

The fourth proportional to 364,201.56, 546,302.34 and 114,903 is: 172,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,201.56 : 546,302.34 = 114,903 : x
  2. Step 2: Convert to fraction form
    364,201.56/546,302.34 = 114,903/x
  3. Step 3: Cross multiply
    364,201.56x = 546,302.34 × 114,903
  4. Step 4: Simplify right side
    364,201.56x = 62,771,777,773.02
  5. Step 5: Solve for x
    x = 62,771,777,773.02/364,201.56
  6. Step 6: Final answer
    x = 172,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.